In set theory, the set difference A∖B (elements in A but not in B) is mathematically equivalent to A∩B^c (the intersection of A with the complement of B), meaning both expressions represent the same shaded region in a Venn diagram.
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This Set Identity is Beautiful!Added:
Here is a beautiful identity from set theory.
A minus B means take everything in A and remove the part that belongs to B.
Now look at A intersection B complement.
B complement means everything outside B.
When we intersect that with A, we again get the part of A outside B.
Different notation, same shaded region.
That's why A minus B is equal to A intersection B complement. Mathematics is easier when you visualize it.
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